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A. Air flows across the trunk lid of a car ata speed of 45.0 m/s while the air i

ID: 1756361 • Letter: A

Question

A. Air flows across the trunk lid of a car ata speed of 45.0 m/s while the air inside the trunk is essentiallynormal atmospheric pressure. Determine the pressure on the outsidesurface of the trunk.
B. If the area of the trunk lid is 1.03 m^2 what will be the upwardforce trying to pop the trunk open as the car moves down theroad? A. Air flows across the trunk lid of a car ata speed of 45.0 m/s while the air inside the trunk is essentiallynormal atmospheric pressure. Determine the pressure on the outsidesurface of the trunk.
B. If the area of the trunk lid is 1.03 m^2 what will be the upwardforce trying to pop the trunk open as the car moves down theroad?

Explanation / Answer

          Initialspeed of air v1 = 45.0 m/s           Inside pressure is P2 = 1.03*105 Pa ---------------------------------------------------------      From bernoullis theorem              P1 + (1/2)v12 + gh1 = P2 +(1/2)v22 + gh2               P1+ (1/2)v12 = P2 +0               P2 = P1 + (1/2)v12 where = 1.2 kg/m3 is density ofair If the area is A = 1.03 m2 then theupward force is F = (P2 - P1)A                                                                                    =--------- N                    
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